Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Jean-Jacques Risler"'
Publikováno v:
St. Petersburg Mathematical Journal. 30:15-23
Torically maximal curves (known also as simple Harnack curves) are real algebraic curves in the projective plane such that their logarithmic Gau{\ss} map is totally real. In this paper we show that hyperplanes in projective spaces are the only torica
Autor:
Jean-Jacques Risler
Publikováno v:
Bulletin of the London Mathematical Society. 35:445-454
Let $C$ be a germ at $O \in {\mathbb R}^2$ of a real analytic plane curve, and $C^{\mathbb C}$ its complexification; let $C_t \subset B_{\varepsilon}$ be a fiber of a real smooth deformation of $C$ in the ball $B_{\varepsilon} = B(O, \varepsilon)$ .
Autor:
Jean-Jacques Risler
Publikováno v:
Journal of Differential Equations. 172:212-226
Let Z be a germ of a singular real analytic vector field at O ∈ R 2 . We give conditions on the multiplicity and the Milnor number of Z which imply that the foliation defined by Z has a characteristic orbit or an analytic invariant curve with the h
Autor:
Herwig Hauser, Jean-Jacques Risler
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 35:585-597
Autor:
Jean-Jacques Risler, David Trotman
Publikováno v:
Bulletin of the London Mathematical Society. 29:200-204
Autor:
Jean-Jacques Risler
Publikováno v:
Mathématiques.
Cet article est une introduction a la geometrie algebrique et a certaines de ses applications. Des rappels d'algebre commutative (groupes, anneaux, ideaux, corps des reels et des complexes) constituent une introduction. Est abordee d'abord l'etude de
Publikováno v:
Algebraic and combinatorial aspects of tropical geometry
Algebraic and combinatorial aspects of tropical geometry, American mathematical society, p. 21-43, 2013, Contemporary Mathematics, 589, 978-0-8218-9146-9 (print); 978-1-4704-0940-1 (online). ⟨10.1090/conm/589/11741⟩
Algebraic and combinatorial aspects of tropical geometry, American mathematical society, p. 21-43, 2013, Contemporary Mathematics, 589, 978-0-8218-9146-9 (print); 978-1-4704-0940-1 (online). ⟨10.1090/conm/589/11741⟩
This paper studies the curvatures of amoebas and real amoebas (i.e. essentially logarithmic curvatures of the complex and real parts of a real algebraic hypersurface) and of tropical and real tropical hypersurfaces. If V is a tropical hypersurface de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::707fc8d16deedb051fb2e213dc1acf94
https://hal.science/hal-00966456
https://hal.science/hal-00966456
Autor:
Jean-Jacques Risler, Jean-Paul Laumond
Publikováno v:
Theoretical Computer Science. 157:101-114
This paper presents a survey of recent combinatorial results arising in the study of nonholonomic control systems. It addresses the question of deciding whether a system is controllable or not. Basic concepts in differential geometric control theory
Autor:
Florian Luca, Jean-Jacques Risler
Publikováno v:
IFAC Proceedings Volumes. 27:165-170
The maximum of the degree of nonholonomy of the control system attached to a kinematic model for the car with n trailers is F n+ 3 where F n is the n th term of the Fibonacci’s sequence (F 0 = 0, F 1 = 1, F n+ 2 = F n +1 + F n , n ≥ 0). This valu
Autor:
Laurent Gournay, Jean-Jacques Risler
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 4:239-252
In this paper we describe an algorithm of construction of a roadmap for a compact semi-algebraic setS ⊂ Rn, which is similar to the algorithm of [3], but which is simpler in the sense that it does not need the use of Whitney stratifications, and mo